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Finding the Fourth Proportional to 677.47, 935.12 and 397.77

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Solution

The fourth proportional to 677.47, 935.12 and 397.77 is: 549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 935.12 = 397.77 : x
  2. Step 2: Convert to fraction form
    677.47/935.12 = 397.77/x
  3. Step 3: Cross multiply
    677.47x = 935.12 × 397.77
  4. Step 4: Simplify right side
    677.47x = 371,962.68
  5. Step 5: Solve for x
    x = 371,962.68/677.47
  6. Step 6: Final answer
    x = 549.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.